SOLUTION: a tank is 4/5 full of water.after drawing off 190 litres of water,it is just 1/6 full.what is the capacity of the tank ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a tank is 4/5 full of water.after drawing off 190 litres of water,it is just 1/6 full.what is the capacity of the tank ?      Log On


   

Question 808347: a tank is 4/5 full of water.after drawing off 190 litres of water,it is just 1/6 full.what is the capacity of the tank ?
Found 3 solutions by richwmiller, TimothyLamb, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
4/5x-190=1x/6
x=300
check
4/5*300=240
240-190=50
50/300=1/6
ok

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
t = (4/5)L
t - 190 = (1/6)L
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(4/5)L - 190 = (1/6)L
(24/30)L - (5/30)L = 190
(19/30)L = 190
L = 190(30/19)
Answer:
L = 300
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = the capacity of the tank
given:
+%284%2F5%29%2Ac+-+190+=+%281%2F6%29%2Ac+
Multiply both sides by +30+
+24c+-+5700+=+5c+
+19c+=+5700+
+c+=+300+
The capacity is 300 liters
----------------------
check:
+%284%2F5%29%2A300+=+240+
+240+-+190+=+50+
+6%2A50+=+300+ liters
OK